Make a rough sketch of the region given below and find its area using the method of integration $\{(x,y): 0 \leq y \leq x^2 +3, 0 \leq y \leq 2x+3,0 \leq x \leq 3 \}$

Question

$\begin{array}{1 1} \frac{8}{3}\;sq.units \\ 8\;sq.units \\ 16\;sq.units\\ 2\;sq.units \end{array} $